10340212000 has 96 divisors (see below), whose sum is σ = 25592701680. Its totient is φ = 4105676800.

The previous prime is 10340211997. The next prime is 10340212049. The reversal of 10340212000 is 21204301.

It can be written as a sum of positive squares in 8 ways, for example, as 2766339216 + 7573872784 = 52596^2 + 87028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538566 + ... + 557434.

Almost surely, 2^10340212000 is an apocalyptic number.

10340212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796350840).

10340212000 is an abundant number, since it is smaller than the sum of its proper divisors (15252489680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10340212000 is a wasteful number, since it uses less digits than its factorization.

10340212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19031 (or 19013 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10340212000 its reverse (21204301), we get a palindrome (10361416301).

The spelling of 10340212000 in words is "ten billion, three hundred forty million, two hundred twelve thousand".